a) State Coulombs law and give the equation involved. How is the equation different from the gravitational case? ( 5 marks)
b) A potential difference of 10kV is established between parallel plated in air
i) If the air becomes electrically conducting when the electric field exceeds 4 x 10^6 vm^(-1), what is the maximum separation of the plates (2 marks)
ii)When the separation has the minimum value calculated in part (i), what is the surface charge density on each plate?
c)Three capacitors c1, c2 and c3 connected in series are shown below. A potential difference V is applied across all three
Work out through (i) to (iv) below in order to obtain the value on terms of c1, c2, c3 of a single capacitor c that would replace all three. Hence or otherwise work out (v) below
i) The diagram above shows that each capacitor has an identical charge. Explain how this comes about (2 marks)
ii) Write down expression for the following:
V1 in terms of Q and C1
V2 in terms of Q and C2
V3 in terms of Q and C3
V in terms of Q and C
iii) What is the total potential difference V across all three capacitors in terms on V1, V2 and V3?
iv) Using your answers to (ii) and (iii) obtain an expression for c in terms of C1, C2 and C3. (1 mark)
v) What is the combined capacitance of a 10 microfarad, 20 microfarad capacitor and a 30 microfarad capacitor connected in series? (1 mark)
d) Draw and explain a circuit which can be used for charging and discharging a capacitor through a resistor. Hence or otherwise write equations for charge for both cases. (3 marks

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